节理岩体变形模量的结构效应研究

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摘要根据变形等效原则，推导1组结构面单独切割岩体及多组结构面组合切割岩体时，岩体变形模量的理论计算公式。通过引入一种圆形的全空间展示图，结合等值线云图的形式，对节理岩体变形模量进行三维空间全方位展示，为便捷地预测岩体变形模量及其结构效应提供理论依据。在此研究基础上，研究单组结构面单独切割及2，3组结构面任意组合切割岩体时，岩体变形模量的空间分布特征，在全空间展示图上表现为：单组结构面切割时，结构面平行方向变形模量取最大值、表现为一条极值线，结构面垂直方向变形模量取最小值、表现为一极值点；2组结构面切割时，最大值为单独切割时极值线的交点，最小值位于单独切割时极值点的连线上；3组结构面切割时，最大值位于切割时极值线围成的最小三角形内，最小值位于单独切割极值点围成的三角形内。研究还表明，结构面切割组数越多，岩体变形模量的弱化程度越明显。该方法可为三维全空间评价岩体变形模量提供有益的参考。

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关键词 ：岩石力学, 变形模量, 结构效应, 各向异性, 全空间展示图

Abstract：According to the principle of equivalent deformation，the theoretical formula which can calculate the deformation modulus of jointed rock mass is derived. A new graphics called full space exhibition map is introduced，which can show the space distribution characteristics of parameters through the contour. Using the theoretical formula and full space exhibition map，a new method which can study the space distribution of the rock mass deformation modulus is formed. Using this method，the structure effect of jointed rock mass with one，two and three joint has been systematically researched. When the rock mass is cut by one joint set，the deformation modulus is the biggest in the direction which is parallel to the joint plane and presents as an extreme value line in the full space exhibition map，while the deformation modulus is the smallest in the direction which is vertical to the joint plane and present as an extreme value point in the full space exhibition map. When the rock mass is cut by two joint sets，the deformation modulus is the biggest in the direction of the intersection point of the two extreme value lines，while the deformation modulus is the smallest in the direction which is between the two extreme value points，in the full space exhibition map. When the rock mass is cut by three joint sets，the direction of the biggest deformation modulus is in the smallest triangle enclosed by the three extreme value lines，while the direction of the smallest deformation modulus is in the triangle enclosed by the three extreme value points，in the full space exhibition map. The weakened degree of deformation modulus becomes significant as the number of joint sets increasing. Because of the simple computational process and the obvious advantage of the space distribution characteristics，this method to evaluate the rock mass deformation modulus provides useful reference in the three dimensional full space.

Key words： rock mechanics deformation modulus structure effect anisotropic full space exhibition map

收稿日期: 2011-02-18

引用本文:

张占荣1，赵新益1，刘庆辉1，盛谦2，杨艳霜2. 节理岩体变形模量的结构效应研究[J]. 岩石力学与工程学报, 2011, 30(S2): 4158-4166.
ZHANG Zhanrong1，ZHAO Xinyi1，LIU Qinghui1，SHENG Qian2，YANG Yanshuang2. STUDY OF STRUCTURE EFFECT OF JOINTED ROCK MASS DEFORMATION MODULUS. , 2011, 30(S2): 4158-4166.

链接本文:

http://www.rockmech.org/CN/Y2011/V30/IS2/4158

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